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Certain results of \((p,q)\)-analogoue of \(I\)-function with \((p,q)\)-derivative. (English) Zbl 1412.33028

Summary: In this paper, the authors have derived the \((p,q)\)-analogue of \(I\)-function by using the \((p,q)\) generalization of the Gamma and Beta functions. Some particular cases of these results in terms of \((p,q)\)-analogue of \(H\)-function which appear to be new, and \(G\)-function, defined earlier by Swati et al. has also been obtained.

MSC:

33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)